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Finding the Fourth Proportional to 778.73, 1,166.18 and 453.11

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Solution

The fourth proportional to 778.73, 1,166.18 and 453.11 is: 678.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.73 : 1,166.18 = 453.11 : x
  2. Step 2: Convert to fraction form
    778.73/1,166.18 = 453.11/x
  3. Step 3: Cross multiply
    778.73x = 1,166.18 × 453.11
  4. Step 4: Simplify right side
    778.73x = 528,399.72
  5. Step 5: Solve for x
    x = 528,399.72/778.73
  6. Step 6: Final answer
    x = 678.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.